Christmas Streak 38/88: Triangle Chase

Geometry Level 3

There are non-degenerate triangles A B C , P Q R ABC,~PQR and P ′ Q ′ R ′ . P'Q'R'.

P , P ′ P,~P' are on line segment A B , AB, and Q , Q ′ Q,~Q' are on line segment B C , BC, and R , R ′ R,~R' are on line segment C A . CA.

What is the minimal number of points that △ P Q R \triangle PQR and △ P ′ Q ′ R ′ \triangle P'Q'R' intersect?

This problem is a part of <Christmas Streak 2017> series .

5 2 4 1 6 0 3

Boi (보이) by Boi (보이) , 19, South Korea

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1 solution

Boi (보이)
Nov 7, 2017

’nuff said. \Huge \text{'nuff said.}

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